The number 53165
53165 is a composite number with 16 divisors. Its prime factorisation is 5 × × 31. Divisors (16): 1, 5, 7, 31, 35, 49, 155, 217, 245, 343, 1085, 1519, 1715, 7595, 10633, 53165.
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How to work it out
- 1
53165 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53165 is composite. Its prime factorisation is
- 3
The divisors add up to 76800; without 53165 itself that is 23635, so 53165 is deficient (23635 is less than 53165). Euler's totient φ(53165) = 35280 numbers up to 53165 share no factor with it.
- 4
The digits of 53165 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53165 = 5 \times 7^{3} \times 31 \]53165 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 76800 |
| Euler totient φ(n) | 35280 |
| Square | 2826517225 |
| Cube | 150271788267125 |
| Square root | 230.575367 (= 7√1085) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.3165 × |
53165 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand one hundred and sixty-five |
| Binary (base 2) | 1100111110101101 |
| Octal (base 8) | 147655 |
| Hexadecimal (base 16) | CFAD |
| Base 3 | 2200221002 |
| As time | 53165 seconds = 14 h 46 min 5 s |
Is 53165 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53165 ÷ 5 = 10633) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (53165 ÷ 7 = 7595) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53165 a prime number?
No. 53165 = 5 × × 31, so it is divisible by 5.
What are the factors of 53165?
1, 5, 7, 31, 35, 49, 155, 217, 245, 343, 1085, 1519, 1715, 7595, 10633, 53165.
What is 53165 in binary?
1100111110101101 (hexadecimal CFAD, octal 147655).
What is the square root of 53165?
About 230.5754, exactly 7√1085.
Is 53165 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 53165?
It is a composite number with 16 divisors.